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Finding the Fourth Proportional to 495,708.61, 684,078.56 and 280,863.20

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Solution

The fourth proportional to 495,708.61, 684,078.56 and 280,863.20 is: 387,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,708.61 : 684,078.56 = 280,863.20 : x
  2. Step 2: Convert to fraction form
    495,708.61/684,078.56 = 280,863.20/x
  3. Step 3: Cross multiply
    495,708.61x = 684,078.56 × 280,863.20
  4. Step 4: Simplify right side
    495,708.61x = 192,132,492,504.02
  5. Step 5: Solve for x
    x = 192,132,492,504.02/495,708.61
  6. Step 6: Final answer
    x = 387,591.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.